Write the equation of a line that is BOTH PARALLEL and PERPENDICULAR to
2x + 4y = 16 through ( 12,15)

Equation for the parallel line:
Equation for the perpendicular line:

Parallel line: y=-x+27

Perpendicular line: y=x+3

Step-by-step explanation:

y=mx+b, where m is the slope and b is the y-intercept.

Rearrange '2x+4y=16' to fit this format:

2x + 4y = 16

x+y=8

y=-x+8

Parallel line

If two lines are parallel, they have the same slope. So our equation goes from y=mx+b to y=-x+b. We know the line goes through (12,15), so we sub this in to get b:

15=-12+b

b=27

So our equation is y=-x+27

Perpendicular line

If two lines are perpendicular, the slope of one line is the negative inverse of another: eg, if a line had slope=3, the line perpendicular to it would have slope=-1/3. The negative inverse of -1 is 1, so our equation goes from y=mx+b to y=x+b.We know the line goes through (12,15), so we sub this in to get b:

15=12+b

b=3

So our equation is y=x+3

its a trick question

step-by-step explanation:

dogs love water, just turn on the hose and it will run in circles chasing the water all day : )

all three statements are true

step-by-step explanation:

a shipping fee of 5% is charged online with every item purchased online

first let's just take each option and calculate them based on this, to see if the answers matched

keith buys a 40 dollar book

40 x 0.05 = 2

therefore there will be a two dollar fee on keith's book

40 + 2 =42

the first statement is true

a chair costs $80

80 x 0.05 = 4

80 + 4 = 84

the second statement is true

george buys a 20 dollar calculator

20 x 0.05 = 1

20 + 1 = 21

the third statements are true

all three statements are true